In any triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Thus, in a right triangle, the hypotenuse is always the longest side.
What is the shortest side of a right triangle called?
The two shorter sides are usually called “legs.” This formula is called the Pythagorean Theorem in honor of Pythagoras. It is usually written as the equation below, where a and b are the measures of the legs of the triangle and c is the measure of the hypotenuse.
How do you find the shortest side of a right triangle?
The shortest side is the one opposite the smallest angle. If the angle you already know is the shortest one, then the shortest side is opposite it.
Is a 3 4 5 triangle always a right triangle?
Any triangle whose sides are in the ratio 3:4:5 is a right triangle. … Such triangles that have their sides in the ratio of whole numbers are called Pythagorean Triples.
Is Side A always longer than Side B in a right triangle?
2 Answers. Side A and B does not matter when your trying to apply this to the pythagorean theorem but side C must always be the hypotenuse. The hypotenuse is always the triangle’s longest side. It is opposite the right angle.
What are the side lengths of a 30 60 90?
A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2. Any triangle of the form 30-60-90 can be solved without applying long-step methods such as the Pythagorean Theorem and trigonometric functions.
How do you find the longest side of a right triangle?
The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle. If the length of the hypotenuse is labeled c , and the lengths of the other sides are labeled a and b , the Pythagorean Theorem states that a2+b2=c2 a 2 + b 2 = c 2 .
How do you find the short side of a 30 60 90 Triangle?
Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.
How do you work out the longest side of a right angled triangle?
To calculate the length of a side on a right-angled triangle when you know the sizes of the other two, you need to use Pythagoras’ Theorem. Pythagoras’ Theorem says that, in a right angled triangle: The square of the hypotenuse is equal to the sum of the squares on the other two sides.
Does 4 5 6 make right triangles?
The three numbers 4, 5, 6 make a Pythagorean Triple (they could be the sides of a right triangle).
What is the 30 60 90 Triangle rule?
Tips for Remembering the 30-60-90 Rules
Remembering the 30-60-90 triangle rules is a matter of remembering the ratio of 1: √3 : 2, and knowing that the shortest side length is always opposite the shortest angle (30°) and the longest side length is always opposite the largest angle (90°).
Does 5 6 7 make right triangles?
Therefore in this problem 7 is the larger length and should be the hypotenuse, and 5 and 6 should be the lengths of the other two sides. … If the sum of the squares of the 2 legs of a triangle is equal to the square of the triangle’s hypotenuse, then the triangle is a right triangle.
Does 9 12 15 make a right triangle?
The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.
What is the longest side of a right triangle called Quizizz?
The hypotenuse on a right triangle is ALWAYS the longest side.
Does the Pythagorean apply to all right triangles?
Note that the Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle’s other two sides, called the legs.